What is the 5025th prime number?
The 5025th prime number is 48859. The next prime is 48869 (a gap of 10) and the one before is 48857.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5025th one is 48859.
- 2
48859 is prime because no prime up to ā48859 ā 221.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5025th prime is close to 5025 Ć ln(5025) ā 42824, and here it is 48859.
- 4
48859 is a twin prime: 48857 and 48859 are both prime.
Primes around the 5025th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5022 | 48823 | 2 |
| 5023 | 48847 | 24 |
| 5024 | 48857 | 10 |
| 5025 | 48859 | 2 |
| 5026 | 48869 | 10 |
| 5027 | 48871 | 2 |
| 5028 | 48883 | 12 |
Questions
What is the 5025th prime number?
48859.
Which prime number is 48859?
48859 is the 5025th prime number.
What is the sum of the first 5025 primes?
115,673,966.